The closures will mean the loss of 780 jobs. The retailer is also planning to cut 450 head office jobs.
M&S also said UK like-for-like sales - which strip out the impact of new stores - fell 7.1% in the 13 weeks to 27 December. Total UK sales fell 3.4%.
Despite the fall in sales, the figures were not as bad as some had feared and the company's shares rose 2%.
The two regular stores closing will be those at Croydon Valley Retail Park and in Woking.
The firm also warned that its profit margins would be lower this year as a result of discounting, especially in food.
In the run-up to Christmas, the retailer held two sale days on which it cut prices by 20%.
M&S said that it had 15% less stock when it began its sale on 27 December than it had the previous year.
The announcements came on the same day that womenswear company Viyella, which was founded in 1784, became the latest long-established British company to call in the administrators.
Other firms which have reported falling sales or job losses on Wednesday included Barclays Bank, finance firm Cattles, Blacks Leisure, and chocolate firm Thorntons.
'No material difference'
The firm's overall group sales fell by 1.2%, though there was a 26.9% increase in international sales and a 29% rise in online sales.
Asked by our business editor whether he agreed with Simon Wolfson, the chief executive of Next, that the government's emergency VAT reduction had been a waste of time and money, Sir Stuart said that he "doesn't do politics".
However, Sir Stuart, a member of the prime minister's business council, added that the VAT decrease had "not made a material difference to our sales".
Sir Stuart also pointed out he thought the government was acting with the best of motives.
The retailer hopes that its redundancy programme, store closures and pension cuts will reduce its annual running costs by between £175m and £200m.
M&S plans to cap increases in its staff's pensionable pay to just 1% per year, reducing the liabilities of its final salary pension scheme.
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